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In the figure, $AC=CD$. The measure of angle $EBC$ is $45°$, and the measure of angle $ACD$ is $104°$. What is the value of $x$?

In the figure shown, points $Q$, $R$, $S$, and $T$ lie on line segment $PV$, and line segment $RU$ intersects line segment $SX$ at point $W$. The measure of $\angle SQX$ is $48°$, the measure of $\angle SXQ$ is $86°$, the measure of $\angle SWU$ is $85°$, and the measure of $\angle VTU$ is $162°$. What is the measure, in degrees, of $\angle TUR$? 

Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $G$ and $K$ are right angles. If $\sin \left(F\right)=\frac{308}{317}$, what is the value of $\sin \left(J\right)$?

What is the value of x ?

In the figure, line $m$ is parallel to line $n$. What is the value of $w$?

A right circular cylinder has a volume of . If the height of the cylinder is 5, what is the radius of the cylinder?

Square A has side lengths that are $166$ times the side lengths of square B. The area of square A is $k$ times the area of square B. What is the value of $k$?

In right triangle $RST$, the sum of the measures of angle $R$ and angle $S$ is $90$ degrees. The value of $\sin \left(R\right)$ is $\frac{\sqrt{15}}{4}$. What is the value of $\cos \left(S\right)$?

The side length of a square is $55 \text{centimeters} \left(\text{cm}\right)$. What is the area, $\text{in} {\text{cm}}^2$, of the square?

What is the length of one side of a square that has the same area as a circle with radius 2 ?

In the given triangle, and has a measure of . What is the value of x ?

In the figure above, and intersect at point P, , and . What is the measure, in degrees, of ? (Disregard the degree symbol when gridding your answer.)

Square X has a side length of $12$ centimeters. The perimeter of square Y is $2$ times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

Right triangles $PQR$ and $STU$ are similar, where $P$ corresponds to $S$. If the measure of angle $Q$ is $18°$, what is the measure of angle $S$?

In the figure, line $q$ is parallel to line $r$, and both lines are intersected by line $s$. If $y=2x+8$, what is the value of $x$?

In the figure above, lines and m are parallel, , and . What is the value of x ?

In the figure above, , , and are parallel. Points B and E lie on and , respectively. If , and , what is the length of , to the nearest tenth?

The area of a square is $64$ square inches. What is the side length, in inches, of this square?

In the figure above, what is the value of ?

What is the volume, in cubic centimeters, of a right rectangular prism that has a length of 4 centimeters, a width of 9 centimeters, and a height of 10 centimeters?

A cube has an edge length of $68$ inches. A solid sphere with a radius of $34$ inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

In triangle $ABC$, the measure of angle $B$ is $90°$ and $\overline{BD}$ is an altitude of the triangle. The length of $\overline{AB}$ is $15$ and the length of $\overline{AC}$ is $23$ greater than the length of $\overline{AB}$. What is the value of $\frac{BC}{BD}$?

The figure shown is a right circular cylinder with a radius of $r$ and height of $h$. A second right circular cylinder (not shown) has a volume that is $392$ times as large as the volume of the cylinder shown. Which of the following could represent the radius $R$, in terms of $r$, and the height $H$, in terms of $h$, of the second cylinder?

In $△XYZ$, the measure of $\angle X$ is $24°$ and the measure of $\angle Y$ is $98°$. What is the measure of $\angle Z$?

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is $10$ feet tall and has a shadow that is $5$ feet long. At the same time, the shadow of the other tree is $2$ feet long. How tall, in feet, is the other tree?